Question

A proportional relationship between the number of pounds of carrots (x) and the price in dollars (y) is graphed, and the ordered pair (8, 6) is on the graphed line. Part A: What is the price of 1 pound of carrots? Show your work. (8 points)

Answer 1

Answer:

$0.75  

Step-by-step explanation:

We have been given that a proportional relationship between the number of pounds of carrots (x) and the price in dollars (y).

We can represent this information as: $y=kx$.

We are also told that the ordered pair (8, 6) is on the graphed line. Let us substitute x= 8 and y= 6 in our proportional equation to find the constant of proportionality.

$6=k*8$

$k=\frac{6}{8}$

$k=\frac{3}{4}$

Now let us substitute k=3/4 and x=1 in our proportionality equation.

$y=\frac{3}{4}*1$

$y=\frac{3}{4}$

$y=0.75$

Therefore, the price of 1 pound of carrots will be $0.75.